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Testing Hardy-Weinberg Equilibrium: an Objective Bayesian Analysis

Author

Listed:
  • Guido Consonni

    (Department of Economics and Quantitative Methods, University of Pavia)

  • Elias Moreno

    (University of Granada)

  • Sergio Venturini

    (Bocconi University of Milan)

Abstract

We analyze the general (multiallelic) Hardy-Weinberg equilibrium problem from an objective Bayesian testing standpoint. We argue that for small or moderate sample sizes the answer is rather sensitive to the prior chosen, and this suggests to carry out a sensitivity analysis with respect to the prior. This goal is achieved through the identification of a class of priors specifically designed for this testing problem. In this paper we consider the class of intrinsic priors under the full model, indexed by a tuning quantity, the training sample size. These priors are objective, satisfy Savage’s continuity condition and have proved to behave extremely well for many statistical testing problems. We compute the posterior probability of the Hardy-Weinberg equilibrium model for the class of intrinsic priors, assess robustness over the range of plausible answers, as well as stability of the decision in favor of either hypothesis.

Suggested Citation

  • Guido Consonni & Elias Moreno & Sergio Venturini, 2010. "Testing Hardy-Weinberg Equilibrium: an Objective Bayesian Analysis," Quaderni di Dipartimento 121, University of Pavia, Department of Economics and Quantitative Methods.
    • Handle: RePEc:pav:wpaper:121
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    File URL: http://dem-web.unipv.it/web/docs/dipeco/quad/ps/RePEc/pav/wpaper/q121.pdf
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    Citations

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    Cited by:

    1. Diego Salmeron & Juan Antonio Cano & Christian Robert, 2013. "Objective bayesian Hypothesis Testing in Binomial Regression Models with Integral Prior Distributions," Working Papers 2013-44, Center for Research in Economics and Statistics.
    2. Guido Consonni & Roberta Paroli, 2017. "Objective Bayesian Comparison of Constrained Analysis of Variance Models," Psychometrika, Springer;The Psychometric Society, vol. 82(3), pages 589-609, September.
    3. Graffelman, Jan, 2015. "Exploring Diallelic Genetic Markers: The HardyWeinberg Package," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 64(i03).
    4. Roberta Paroli & Guido Consonni, 2020. "Objective Bayesian comparison of order-constrained models in contingency tables," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 29(1), pages 139-165, March.

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